Final answer:
In a right triangle, the Pythagorean theorem relates the length of the legs, labeled a and b, with the length of the hypotenuse, labeled c. However, in this case, there is no solution for the given values of b and c.
Step-by-step explanation:
In a right triangle, the Pythagorean theorem relates the length of the legs, labeled a and b, with the length of the hypotenuse, labeled c. The relationship is given by the equation: a² + b² = c².
In this case, we have b = 25 in and c = 7 in. We can substitute these values into the equation to find a:
a² + 25² = 7²
a² + 625 = 49
a² = 49 - 625
a² = -576
Since a represents the length of a side, it cannot be negative. Therefore, there is no solution for the given values of b and c.